3.3.2. Analysis of Carbon Flow for Different Land-Use Types

In order to better explore the law of carbon transfer between different land-use types and evaluate the impacts of carbon emissions from land-use changes more accurately, an explicit carbon flow model was introduced [22]:

$$f\_{i\bar{j}} = \Delta \mathcal{W} \cdot \Delta S \tag{6}$$

$$
\Delta W = W\_{\circ} - W\_{i} = \frac{V\_{j}}{S\_{j}} - \frac{V\_{i}}{S\_{i}} \tag{7}
$$

where *fij* represents the transfer of carbon from land type *j* to land type *i*; Δ*W* is defined as the carbon metabolism density during the process of conversion from land type *j* to land type *i*; Δ*S* represents the acreage over which the conversion occurs ; *Wj* and *Wi* represent the carbon flow density of land type *j* and the land type *i*, respectively, which is equivalent to the land carbon emission coefficient. *Vj* and *Vi* represent the carbon flow of land type *j* and the land type *i*, respectively, which is equivalent to the land carbon emissions. If Δ*W* > 0, the land type conversion is a positive process with an increase in the carbon sink. If Δ*W* < 0, the land type transfer is a negative process with a reduction in the carbon sink or an increase in carbon emissions.
